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Simplifying -1(3x + 2) + 2(x + -1) = 6 Reorder the terms: -1(2 + 3x) + 2(x + -1) = 6 (2 * -1 + 3x * -1) + 2(x + -1) = 6 (-2 + -3x) + 2(x + -1) = 6 Reorder the terms: -2 + -3x + 2(-1 + x) = 6 -2 + -3x + (-1 * 2 + x * 2) = 6 -2 + -3x + (-2 + 2x) = 6 Reorder the terms: -2 + -2 + -3x + 2x = 6 Combine like terms: -2 + -2 = -4 -4 + -3x + 2x = 6 Combine like terms: -3x + 2x = -1x -4 + -1x = 6 Solving -4 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 6 + 4 -1x = 6 + 4 Combine like terms: 6 + 4 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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